scholarly journals Temperature Dependent Viscosity of a Third Order Thin Film Fluid Layer on a Lubricating Vertical Belt

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
T. Gul ◽  
S. Islam ◽  
R. A. Shah ◽  
I. Khan ◽  
L. C. C. Dennis
Keyword(s):  
Thin Film ◽  
Variable Viscosity ◽  
Fluid Layer ◽  
Adomian Decomposition Method ◽  
Slip Boundary Condition ◽  
Thin Film Flow ◽  
Third Order ◽  
Temperature Dependent Viscosity ◽  
Approximate Analytical Solutions ◽  
Adomian Decomposition

This paper aims to study the influence of heat transfer on thin film flow of a reactive third order fluid with variable viscosity and slip boundary condition. The problem is formulated in the form of coupled nonlinear equations governing the flow together with appropriate boundary conditions. Approximate analytical solutions for velocity and temperature are obtained using Adomian Decomposition Method (ADM). Such solutions are also obtained by using Optimal Homotopy Asymptotic Method (OHAM) and are compared with ADM solutions. Both of these solutions are found identical as shown in graphs and tables. The graphical results for embedded flow parameters are also shown.

scholarly journals MHD and Slip Effect on Two-immiscible Third Grade Fluid on Thin Film Flow over a Vertical Moving Belt

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 575-586 ◽  
Author(s):  
Zeeshan Khan ◽  
Nasser Tairan ◽  
Wali Khan Mashwani ◽  
Haroon Ur Rasheed ◽  
Habib Shah ◽  
...  
Keyword(s):  
Thin Film ◽  
Adomian Decomposition Method ◽  
Single Layer ◽  
Immiscible Fluids ◽  
Third Grade ◽  
Model Parameters ◽  
Thin Film Flow ◽  
Coupled Equations ◽  
Adomian Decomposition ◽  
Layer Flow

Abstract The present paper related to thin film flows of two immiscible third grade fluids past a vertical moving belt with slip conditions in the presence of uniform magnetic field. Immiscible fluids we mean superposed fluids of different densities and viscosities. The basic governing equations of continuity, momentum and energy are incorporated. The modeled coupled equations are solved analytically by using Adomian Decomposition Method (ADM) along with Homotopy Analysis Method (HAM). The residual errors show the authentication of the present work. For comparison, numerical method (ND-Solve) is also applied and good agreement is found. The effects of model parameters on velocity, skin friction and temperature variation have been studied. At the end, the present study is also compared with single layer flow and revealed in close agreement with the result available in the literature.

scholarly journals Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Fazle Mabood ◽  
Nopparat Pochai
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Adomian Decomposition Method ◽  
Decomposition Methods ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Analytical Technique ◽  
Adomian Decomposition ◽  
Grade Fluid

We have investigated a thin film flow of a third grade fluid on a moving belt using a powerful and relatively new approximate analytical technique known as optimal homotopy asymptotic method (OHAM). The variation of velocity profile for different parameters is compared with the numerical values obtained byRunge-Kutta Fehlberg fourth-fifth ordermethod and with Adomian Decomposition Method (ADM). An interesting result of the analysis is that the three terms OHAM solution is more accurate than five terms of the ADM solution and this thus confirms the feasibility of the proposed method.

A study of thin film flow of an Oldroyd 8-constant fluid on a moving belt using variational iteration approach

2014 ◽  
Vol 92 (10) ◽  
pp. 1196-1202 ◽  
Author(s):  
A.M. Siddiqui ◽  
A.A. Farooq ◽  
T. Haroon ◽  
M.A. Rana
Keyword(s):  
Thin Film ◽  
Newtonian Fluid ◽  
Film Flow ◽  
Adomian Decomposition Method ◽  
Nonlinear Problems ◽  
Variational Iteration Method ◽  
Thin Film Flow ◽  
Belt Speed ◽  
Variational Iteration ◽  
Adomian Decomposition

In this paper, we model a steady thin film flow of an Oldroyd 8-constant fluid on a vertically moving belt. The governing nonlinear differential equation is first integrated exactly and then solved by applying the variational iteration method and the Adomian decomposition method. The numerical results obtained by these methods are then compared through graphs and tables and no visible difference is observed. This study highlights the significant features of the proposed methods and their ability for solving nonlinear problems arising in non-Newtonian fluid mechanics. Moreover, a reasonable estimation for the belt speed to lift the non-Newtonian fluid is also recorded. This estimation can be used for experimental verification.

Thin Film Flow of a Third Grade Fluid with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 553-558 ◽  
Author(s):  
Sohail Nadeem
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Variable Viscosity ◽  
Nonlinear Differential Equations ◽  
Third Grade ◽  
Outer Side ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entropy generation are also defined. The graphical results are presented for various physical parameters appearing in the problem

Fisher–Kolmogorov–Petrovsky– Piscounov Reaction and n-Diffusion Cattaneo Telegraph Equation

2017 ◽  
Vol 139 (7) ◽  
Author(s):  
Ulrich Olivier Dangui-Mbani ◽  
Jize Sui ◽  
Liancun Zheng ◽  
Bandar Bin-Mohsin ◽  
Goong Chen
Keyword(s):  
Power Law ◽  
Adomian Decomposition Method ◽  
Relaxation Parameter ◽  
Spatial Variable ◽  
Recombination Reaction ◽  
Temperature Profiles ◽  
Approximate Analytical Solutions ◽  
Adomian Decomposition ◽  
Power Law Index ◽  
Temporal Variable

This paper presents research for a class of recombination reaction and diffusion problems in which the Cattaneo relaxation, n-diffusion flux, and p-Fisher–Kolmogorov–Petrovsky–Piscounov (KPP) reaction are considered. Approximate analytical solutions are obtained by Adomian decomposition method (ADM) and shown graphically. Some interesting results for spatial variable and temporal variable evolution are obtained. For specified spatial variable, the temperature profiles decrease with respect to the increase of relaxation parameter and power-law index n but decrease with respect to Fisher–KPP reaction parameter p. For specified temporal variable, the temperature profiles are seem oscillating with values of the relaxation parameter and power-law index n.

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